The 2024 SAT standardized test is a critical assessment for college admissions. The math section covers a wide range of topics. To help students prepare, we’ve created a practice paper. This paper includes various math problems to help students become familiar with the test format and excel in their exam.

1. Which of the following represents the statement “the sum of the squares of x and y is equal to the square root of the difference of x and y”?

A. x² + y² = \( \sqrt[]{x-y} \)

B. x2 − y2 = \( \sqrt[]{x+y} \)

C. (x + y)2 = \( \sqrt[]{x}-\sqrt[]{y} \)

D. \( \sqrt[]{x+y} \)= (x − y)²

2. If a = −2, then a + \( a^2 \) − \( a^3 \) + \( a^4 \) − \( a^5 \) =

A. −22

B. −18

C. 32

D. 58

3.

\( \frac{1}{8}+\frac{1}{10}=\frac{a}{b} \)

In the equation above, if a and b are positive integers and \( \frac{a}{b} \)is in its simplest reduced form, what is the value of a ?

A. 2

B. 9

C. 18

D. 40

4. If 7 times a number is 84, what is 4 times the number?

A. 16

B. 28

C. 48

D. 56

5. If 3x = 12, what is the value of \( \frac{24}{x} \)?

A. \( \frac{1}{6} \)

B. \( \frac{2}{3} \)

C. 4

D. 6